Exclusion statistics for quantum Hall states in Tao-Thouless limit

Abstract

We consider spin-polarized abelian quantum Hall states in the Tao-Thouless limit, {\it ie} on a thin torus. For any filling factor $\nu =p/q$ a well-defined sector of low-energy states is identified and the exclusion statistics of the excitations is determined. We study numerically, at and near $\nu =1/3$ and $2/5$, how the low energy states develop as one moves away from the TT-limit towards the physical regime. We find that the lowest energy states in the physical regime develop from states in the low energy sector but that the exclusion statistics is modified.

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Cited by in corpus (4)

• Haldane Statistics for Fractional Chern Insulators with an Arbitrary Chern number
• Edge Mode Combinations in the Entanglement Spectra of Non-Abelian Fractional Quantum Hall States on the Torus
• Exact wavefunctions for excitations of the nu=1/3 fractional quantum Hall state from a model Hamiltonian
• Success and failure of the plasma analogy for Laughlin states on a torus